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71843834172 = 2231123147116087
BaseRepresentation
bin100001011101000111…
…0011110100100111100
320212102220211220212010
41002322032132210330
52134114010143142
653000554411220
75122233341325
oct1027216364474
9225386756763
1071843834172
1128517a75a70
1211b10430b10
136a0c4444a6
14369785d44c
151d07426e9c
hex10ba39e93c

71843834172 has 96 divisors (see below), whose sum is σ = 190967906304. Its totient is φ = 20808849600.

The previous prime is 71843834141. The next prime is 71843834233. The reversal of 71843834172 is 27143834817.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4457913 + ... + 4473999.

It is an arithmetic number, because the mean of its divisors is an integer number (1989249024).

Almost surely, 271843834172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71843834172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95483953152).

71843834172 is an abundant number, since it is smaller than the sum of its proper divisors (119124072132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71843834172 is a wasteful number, since it uses less digits than its factorization.

71843834172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17599 (or 17597 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The spelling of 71843834172 in words is "seventy-one billion, eight hundred forty-three million, eight hundred thirty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1471 1518 2942 3036 4413 5884 8826 16087 16181 17652 32174 32362 33833 48261 48543 64348 64724 67666 96522 97086 101499 135332 176957 193044 194172 202998 353914 370001 372163 405996 530871 707828 740002 744326 1061742 1110003 1116489 1480004 1488652 2123484 2220006 2232978 4070011 4440012 4465956 8140022 12210033 16280044 23663977 24420066 47327954 48840132 70991931 94655908 141983862 260303747 283967724 520607494 544271471 780911241 1041214988 1088542942 1561822482 1632814413 2177085884 3123644964 3265628826 5986986181 6531257652 11973972362 17960958543 23947944724 35921917086 71843834172